10^2501+1 = 1000000000...<2502> = 11 * 81131 * 2670502781396266997<19> * 3404193829806058997303<22> * 522346250245015592799109827193626997<36> * 9257979664211852962861062975013161250901383<43> * 11205222530116836855321528257890437575145023592596037161<56> * [2274667807...<2322>] (7.18%)
10^2502+1 = 1000000000...<2503> = 101 * 1669 * 9901 * 10009 * 2420269 * 94869169 * 316045969 * 999999000001<12> * 35612816445873361<17> * 154220035640400941<18> * 55429120655142293701<20> * 112055960419281090008995224529<30> * 681395720294658810682438883431201<33> * 22566203851955475809719636369904190294286729<44> * 538978365796508304569088931293097537674917585678041<51> * 17578550135840913456911316683567075151132274090424405862513992032108985729<74> * 17991550746452636778885686845907191686483610285262887318124980694534367263929242005840749<89> * [2042596332...<497>] * [4516795963...<1587>] (16.75%)
10^2503+1 = 1000000000...<2504> = 11 * 85103 * 2878451 * 10926536129<11> * 1905473841391051<16> * 1782453081...<2466> (100.00%)
10^2504+1 = 1000000000...<2505> = 17 * 5882353 * 697494209 * 8483196433<10> * [1690051216...<2478>] (1.07%)
10^2505+1 = 1000000000...<2506> = 7 * 11 * 13 * 211 * 241 * 2161 * 5011 * 9091 * 63716179 * 107154371983<12> * 36022606341394182241<20> * 116011189311149998139<21> * 272828068791212993437<21> * 4551304599799744355996136613<28> * 461278897961764513411218521401<30> * 33736555109868187392351962045477697902508313099<47> * 3991682749552894902673962957124418797917278009299<49> * 301525294918950432087520298129941558711551656822567015411<57> * 14950128044255312629457887411604300692966728690551568705030373<62> * 1673231604783581202191614925998671476588050450668542153487963678394246910368200811178749492637589352276800487227374454734584105258179583258226198219279441096528046762469147380935906915618783308520809<199> * [4758831767...<631>] * [2526216707...<1309>] (22.59%)
10^2506+1 = 1000000000...<2507> = 29 * 101 * 281 * 121499449 * 530819489 * 7788750761855821<16> * [2394770832...<332>] * [1009999999...<2137>] (1.54%)
10^2507+1 = 1000000000...<2508> = 11 * 47 * 139 * 2531 * 60169 * 65183 * 549797184491917<15> * 3338786746233023<16> * 14060959683864286267405933000927102019<38> * 19364383321148719295180578853325741855858987848620134943<56> * 2804694396...<2367> (100.00%)
10^2508+1 = 1000000000...<2509> = 73 * 137 * 457 * 617 * 2377 * 6689 * 16369 * 27817 * 135433 * 432961 * 1403417 * 5166481 * 99990001 * 376102873 * 6796152793<10> * 24387741577<11> * 36120612721<11> * 5240808656722481737<19> * 126197002179733470481<21> * 820004198104771341817<21> * 23031241974699402181708609<26> * 283830826522232279893972777<27> * 13591271120229398317886003161009<32> * 23158577135309255466647638358377<32> * 16205834846012967584927082656402106953<38> * 297478330786365628414805305290302483555043017<45> * 545358172357012292201336067885308067971306777<45> * 194720331913760546074906161375930267923071695863299678749187377754543757962841785054377649<90> * [2024304810...<667>] * [4425032139...<1356>] (19.38%)
10^2509+1 = 1000000000...<2510> = 11 * 859 * 1931 * 10037 * 1430131 * 166376423 * 282894769 * 1058313049<10> * 13106298984001244218783<23> * 197130359208641543369948601899772685881314797880591361841987239812905237552876758580360078419442702688883521253076425640461215518675198704069680024806236407348374092599681<171> * [2966796084...<2274>] (9.39%)
10^2510+1 = 1000000000...<2511> = 101 * 3541 * 5021 * 15061 * 27961 * 35141 * 162649 * 15893321 * 34582781 * 117412781 * 877561261 * 8781864634980901<16> * 74807386176380021<17> * 49156857924868353161<20> * 7787188843931699008561<22> * 4275063964888153570238143950361<31> * 19865883513841398705494094049167881<35> * 2158935103...<452> * [2850829283...<922>] * [3107890630...<939>] (25.90%)
10^2511+1 = 1000000000...<2512> = 7 * 11 * 13 * 19 * 373 * 1117 * 1459 * 5023 * 20089 * 44641 * 52579 * 70541929 * 2458921051<10> * 3590254957<10> * 14175966169<11> * 261315626851<12> * 456502382570032651<18> * 610600386089858349939139<24> * 909090909090909090909090909091<30> * 183372282864547916749018225828651<33> * 108131551600520034721722272883130729<36> * 18381907262281244633158190677786966663091011<44> * 4887054837129490444185770642291712106451445708466643483270887621857163512076927093556902832792696796518529880218993484798134507347686651311824503<145> * [7045616588...<490>] * [4977848573...<1616>] (16.15%)
10^2512+1 = 1000000000...<2513> = 353 * 449 * 641 * 1409 * 69857 * 609220289 * [1641442378...<2488>] (0.99%)
10^2513+1 = 1000000000...<2514> = 11 * 25849 * 909091 * 19210610797963667218565939<26> * 206317525449270759638548304557<30> * 2731764846587782091546914066524656594612608438032609803989298453<64> * [6701608956...<265>] * [5331587259...<2119>] (5.15%)
10^2514+1 = 1000000000...<2515> = 101 * 9901 * 30169 * 1030741 * 3694282184532746187389<22> * 6104774989353056000147746129<28> * 45115562873269905501469036909<29> * 1683735308680418754311470527721<31> * 48399906424442267926223136380644501<35> * 93687467337623351797267989687273857859361<41> * [1591749570...<785>] * [2600688940...<1530>] (7.97%)
10^2515+1 = 1000000000...<2516> = 11 * 9091 * 522325748166690961<18> * [9090909090...<502>] * [2105944430...<1991>] (0.90%)
10^2516+1 = 1000000000...<2517> = 73 * 137 * 50321 * 19020961 * 61544617 * 152533657 * 38175539729<11> * 263470794953<12> * 1309034769146777<16> * 16444765848115921<17> * 6683957970735097993<19> * 65552746171882583264230070868884366877803237222654400793<56> * 987958734776503660730847298429926744644928427487850380038560428638070909650210480224210297181360032908354907525523774393<120> * [1187296395...<2237>] (11.13%)
10^2517+1 = 1000000000...<2518> = 7 * 11 * 13 * 25171 * 107314813 * 6019610075586611191360847<25> * 4395225577825309207971784237<28> * 713179443752745679211641547767533209753303<42> * [1973242516...<764>] * [9932920707...<1644>] (4.36%)
10^2518+1 = 1000000000...<2519> = 101 * 21493649 * 46987264901<11> * 4214425096681<13> * [2326215625...<2486>] (1.30%)
10^2519+1 = 1000000000...<2520> = 11^2 * 23 * 4093 * 8779 * 2317091604522004723965449<25> * 22122368173743271094350225612207534262957<41> * 13270807703600518273110858480695033043595534787235597140531<59> * 1336395914067475494619360928220680511145198857935330550248985354190742963795052553003443246310484435548877<106> * [1099999999...<2281>] (9.49%)
10^2520+1 = 1000000000...<2521> = 17 * 113 * 337 * 3361 * 8929 * 20161 * 1378721 * 5070721 * 5882353 * 1132716961<10> * 5758943337281<13> * 75500478859681<14> * 9999999900000001<16> * 73765755896403138401<20> * 6717658458758041138199521<25> * 14636399401905958775427841<26> * 19721061166646717498359681<26> * 119968369144846370226083377<27> * 281259985248437790051014401<27> * 826427348932069065539097601<27> * 31388506438433752927908678241<29> * 2070270028985341766616009080161<31> * 681246048580017390433849414006037281<36> * 1081862991605594332069477594870669601<37> * 1114737869182936469693737960974486017089<40> * 111994624258035614290513943330720125433979169<45> * 70488250368897247920709885766793062547616862669921<50> * 2582785559040998185916696136639544586696154922477921<52> * 245852083551051217541465412461202922395395232640413677301754561<63> * 1433319827159466789806966856379479179916136529424792832495021393<64> * 11824792503914776383865492901019100670460517256833712771719617457<65> * 387178872244935905889772080780710293688045544881430361754684573270941224160164698232378629400751141017399632124896823872033355066626985720481<141> * 75863646933147015591828268401923986261986397730196168081539267851470929961346053360645853358874777126920177958883875403750336775844271700524766982560221150310256906229475838502330430737<185> * 3471850615...<300> * [6832281441...<1127>] (55.28%)
10^2521+1 = 1000000000...<2522> = 11 * 54072907292576561<17> * 122405201850384889312889<24> * [1373497014...<2481>] (1.62%)
10^2522+1 = 1000000000...<2523> = 101 * 389 * 521 * 136189 * 1900381976777332243781<22> * 898484614742435248795384427389<30> * 78412655334235167606162810513004420610966509546603404268745999503561001<71> * 32459577600675557860942537579547020207960799876413377335594586605416959347268194103170247296625068200526946320832808609<119> * [8254080458...<2269>] (10.04%)
10^2523+1 = 1000000000...<2524> = 7 * 11 * 13 * 59 * 176611 * 3464921 * 119226889 * 638453709757<12> * 31208910232441<14> * 135080726389891<15> * 279730811663731<15> * 5708922049340287<16> * 154083204930662557781201849<27> * 1274194732898148471766404179653<31> * 1630777462352881403814023114519396413<37> * [2978274529...<718>] * [5662161473...<1619>] (7.40%)
10^2524+1 = 1000000000...<2525> = 73 * 137 * 1347817 * 10782529 * 24016751116761447569489<23> * [2864776533...<2485>] (1.57%)
10^2525+1 = 1000000000...<2526> = 11 * 251 * 607 * 809 * 1213 * 5051 * 9091 * 178241771 * 1327067281<10> * 78875943472201<14> * 1011343309515211<16> * 5782345697661601<16> * 10013779702381498531<20> * 156514384347514272257251<24> * 2137610198133903210926015051<28> * 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83> * 6093716070...<358> * [5169130785...<1934>] (23.42%)
10^2526+1 = 1000000000...<2527> = 101 * 9901 * 60624001 * 30374617640449<14> * 284806981346628361<18> * 1923449716625508568977467261<28> * 22476551674392267849702277941854849826781<41> * [7539755905...<759>] * 5849593856...<1655> (69.96%)
10^2527+1 = 1000000000...<2528> = 11 * 43321 * 60649 * 909091 * 909090909090909091<18> * 283504953263765981441<21> * 247025236977306025681323889<27> * 169713561095221779668217237487<30> * 1358096129569726808048754943201<31> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 5140192330491733331414521378576126342075768810496980939<55> * 3223374037812410694155224757327965568352798312019085047331<58> * 1393193546...<226> * [2523298599...<1968>] (22.14%)
10^2528+1 = 1000000000...<2529> = 19841 * 257857 * 976193 * 6187457 * 191510247809<12> * 834427406578561<15> * 24217557668390306359169<23> * 11293715911607412802561853633<29> * [7403922335...<2429>] (3.92%)
10^2529+1 = 1000000000...<2530> = 7 * 11 * 13 * 19 * 5059 * 52579 * 236016397 * 55667235241<11> * 6560496291091<13> * 4917833840230807<16> * 180885872382193545247<21> * 58513940129535379432477007<26> * 1431135121058581084714805848152798178115682551730402597243763044287124792572084319412841582786640330468733<106> * 16547433246480520174349179207193433881181252010316221293841402155991914006665222503784862841092262365532740265874407144559674728417785771<137> * [2234522626...<545>] * [8325741457...<1637>] (13.75%)
10^2530+1 = 1000000000...<2531> = 89 * 101 * 461 * 661 * 1289 * 3541 * 18041 * 27961 * 148721 * 509681 * 13687301 * 18878861 * 1052788969<10> * 1056689261<10> * 1121407321<10> * 48358465541<11> * 93744372901<11> * 1380874339021<13> * 4107757827661<13> * 18371524594609<14> * 8225357978845859081<19> * 439120676164610394481<21> * 53567677337920222626622001<26> * 1395900370916327245555441901<28> * 4181003300071669867932658901<28> * 12618302246788689711565695281<29> * 354969305477178480614478251861<30> * 36380545029953205956377406702261<32> * 102312134712463700602953982768261<33> * 205091346557483823616165925832292741<36> * 69691163546816853278309618463969524441<38> * 870647723077443424730240122490394960350773424147330153671641266669332491181<75> * [1148531028...<375>] * 3446670730...<757> * [1481089331...<874>] (50.70%)
10^2531+1 = 1000000000...<2532> = 11 * 2722936246988371<16> * [3338641916...<2515>] (0.65%)
10^2532+1 = 1000000000...<2533> = 73 * 137 * 111409 * 167113 * 9165841 * 99990001 * 52816940406092138527647186529<29> * [9999000099...<840>] * [1109602321...<1635>] (2.29%)
10^2533+1 = 1000000000...<2534> = 11 * 103 * 2087 * 4013 * 238103 * 21993833369<11> * 9615683031450065714899<22> * 165459609176797865866134365329792270635207840943<48> * 2737869430252705432917439814481839640694075521336313521691938014929169431049<76> * [4619849392...<2363>] (6.72%)
10^2534+1 = 1000000000...<2535> = 29 * 101 * 281 * 121499449 * 928417781 * 469968172441<12> * 2136569912461<13> * 15470952779187481<17> * 3467369151629862044701<22> * 314547891171506427278717744569<30> * 22780106292572351730658730234738216404394547689<47> * 2763057708...<214> * [1009999999...<2161>] (14.76%)
10^2535+1 = 1000000000...<2536> = 7 * 11 * 13^3 * 131 * 157 * 211 * 241 * 677 * 859 * 2161 * 6397 * 6761 * 9091 * 15601 * 35491 * 216451 * 925081 * 436623331 * 987001237 * 1058313049<10> * 15762546853<11> * 388847808493<12> * 112389066692347771<18> * 2132178310436954247617371<25> * 8396862596258693901610602298557167100076327481<46> * 1592730232155679902273246343099578009020762979379345291<55> * 63054129911571801941639263405768461425999152026392552531582926655481271974023945336611<86> * 939618179300167110691422839525295363729230399945945616908880764779647712170590547747265739<90> * [4342163700...<284>] * [6936901740...<596>] * 6453195542...<1235> (65.31%)
10^2536+1 = 1000000000...<2537> = 17 * 5340817 * 5882353 * 143862209 * [1301504199...<2514>] (0.90%)
10^2537+1 = 1000000000...<2538> = 11 * 1889 * 57009401 * 2182600451<10> * 1090805842068098677837<22> * 7306116556571817748755241<25> * 4411922770996074109644535362851087<34> * [1099999999...<2437>] (3.98%)
10^2538+1 = 1000000000...<2539> = 101 * 109 * 1129 * 9901 * 45121 * 153469 * 999999000001<12> * 3792128943527581<16> * 59779577156334533866654838281<29> * 2246285860430986548506215527001<31> * 2144906157509411684424913774078958939881<40> * 1023037643093214557651333120422980213172396059301<49> * 441659454625809720192647055276257528637832621638030289<54> * 2377887731204762925852743951147119066491658516292086935221758265146322256742372441<82> * [1000000999...<553>] * [1000000000...<1657>] (13.00%)
10^2539+1 = 1000000000...<2540> = 11 * 1533557 * 7063499 * 191339041 * 193835759978169243928373<24> * [2262820006...<2494>] (1.80%)
10^2540+1 = 1000000000...<2541> = 73 * 137 * 1676321 * 3921761 * 3988541681<10> * 5964848081<10> * 3031161171601<13> * 764515044486144085977569<24> * 2575212027850692464577982171078840918884244921649<49> * [3246850456...<416>] * [3299395655...<2004>] (4.76%)
10^2541+1 = 1000000000...<2542> = 7^2 * 11^3 * 13 * 23 * 127 * 463 * 727 * 1453 * 2689 * 4093 * 4357 * 8317 * 8779 * 24179 * 25169 * 421807 * 459691 * 590437 * 909091 * 1485397 * 7444361 * 599144041 * 183411838171<12> * 530813060317<12> * 3481311540961<13> * 4539402627853030477<19> * 4924630160315726207887<22> * 102502981431359171598893<24> * 136094982876222218559943<24> * 544471001372579296332291652675646774644208265246405598834086237345292487<72> * 803956626149925031112757148192164970057208483589704631288984124647169634536861236854805849361<93> * 230011192907385746489206818568311532935807860401402800698998509497721478420289331088499239362108691<99> * 11822467114406347049508509173181187674903268156244494414655679899332039067660980127211497142614121477521<104> * [1000000000...<661>] * [4466266333...<1303>] (22.76%)
10^2542+1 = 1000000000...<2543> = 101 * 10169 * 68389 * 2049349 * 47640028721<11> * 16438685765173540249<20> * 15060289658182968490505726713009<32> * 483128549554512237305554588359039822397307149685578249<54> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * [8421136233...<2335>] (8.15%)
10^2543+1 = 1000000000...<2544> = 11 * 5087 * 101000201191745553853<21> * [1769389062...<2519>] (0.97%)
10^2544+1 = 1000000000...<2545> = 97 * 353 * 449 * 641 * 1409 * 1697 * 69857 * 206209 * 1373761 * 66554101249<11> * 75118313082913<14> * 50666791195245169449313<23> * 12009319775706514220108801<26> * [7049611193...<775>] * [1000000000...<1665>] (4.13%)
10^2545+1 = 1000000000...<2546> = 11 * 1019 * 7127 * 9091 * 53134774681<11> * 270996195098582964284608051<27> * 285880231210939954055570531<27> * [1251775283...<502>] * [2672158291...<1969>] (2.97%)
10^2546+1 = 1000000000...<2547> = 101 * 269 * 4021 * 534661 * 260587121 * 722817036322379041<18> * 1369778187490592461<19> * 94927228208573594069<20> * 37514364632515034328589549<26> * 207656310001320777907391876549869<33> * 2302527353565357450759725122262880394277261<43> * 16071030565277594576986582552521799177065559188277159741<56> * [2424935210...<2313>] (9.18%)
10^2547+1 = 1000000000...<2548> = 7 * 11 * 13 * 19 * 1699 * 52579 * 241117 * 9170899 * 715880197 * 1941850545413860134349140850659019<34> * 7198295568559013885196835567543447<34> * 61945573305222690279363663578823967<35> * 49019999488937337866558715558211303750925973449<47> * 151168348012920493188164812150408056175148228488823<51> * 4834389726736518293852244130660191969670797610633948645694761977558159678896763591712097243317272920296826630341374217553659008741548305187653<142> * [1197459604...<482>] * [1000999998...<1693>] (14.68%)
10^2548+1 = 1000000000...<2549> = 73 * 137 * 7841 * 101921 * 346529 * 574393 * 1580801 * 1819273 * 10727809 * 286569193 * 52781463673<11> * 127522001020150503761<21> * 632527440202150745090622412245443923049201<42> * 146922836547557380904624883811070801579636649582426027039761<60> * 5010620991340707523594168804430658367520003649793780623118456073<64> * 1236386443286416000845205982296310762602996796920706630693450425385353425494707969<82> * 3781177083560380583441154025352663121070150968307048633209358859027273162533881299502797579969<94> * 3117814097707474151636414249725282442495420872481503567637409314701821275097272518686106760443668816338775822931861913879972129<127> * [1556319877...<2000>] (21.54%)
10^2549+1 = 1000000000...<2550> = 11 * 5099 * [1782880778...<2545>] (0.19%)
10^2550+1 = 1000000000...<2551> = 61 * 101 * 409 * 601 * 1021 * 3061 * 3541 * 5101 * 8161 * 9901 * 26861 * 27961 * 60101 * 261301 * 855781 * 2586721 * 3221501 * 3903901 * 4188901 * 5969449 * 7019801 * 28559389 * 39526741 * 134703241 * 1491383821<10> * 168290119201<12> * 5071197096181<13> * 7568346838961<13> * 14103673319201<14> * 225974065503889<15> * 1680588011350901<16> * 2324557465671829<16> * 7239775671637271201<19> * 12450179422222023301<20> * 25074091038628125301<20> * 237612993541791006121<21> * 228874386456730629545201<24> * 378515002426869847204201<24> * 14305987221084718242712901<26> * 25230329421860324970373801<26> * 1352344323222619544258924401<28> * 9617937539686528098542338201<28> * 44398000479007997569751764249<29> * 50114277309486064080581238901<29> * 1988731184935761442996825520561<31> * 38654658795718156456729958859629701<35> * 677827125083342723075551469213357648491441<42> * 114797635898427958794033542315180663747542680841<48> * 2095984910297609187763730708273246358018472392101<49> * 185898550709887865845976723509058449254706894935901<51> * 1051361091529803074497312148085134194834726090632313891925201<61> * 3486475319440674008607957277969304463510523376893744438151274361<64> * 390165385837451805986633040667495640526336339013830593297226360344237401<72> * [6535808879...<242>] * [1948394174...<245>] * [2118044402...<511>] * 3151799287...<596> (60.92%)
10^2551+1 = 1000000000...<2552> = 11 * [9090909090...<2550>] (0.04%)
10^2552+1 = 1000000000...<2553> = 17 * 929 * 15313 * 23201 * 182353 * 4465073 * 5882353 * 10100113 * 2259045713<10> * 6375049854966150323090311653281<31> * 3114824318784041623490389014199610366824348609<46> * 4948797624251336428769758769452316283490536687091682910619153<61> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * 369660333075000068856709492212454991557448976437779979434921265833995781602906344537626232976067313<99> * [4534517864...<2196>] (13.96%)
10^2553+1 = 1000000000...<2554> = 7 * 11 * 13 * 47 * 139 * 223 * 2531 * 4663 * 7253 * 30637 * 31051 * 714841 * 11605939 * 40538237 * 2348555453641<13> * 143574021480139<15> * 422650073734453<15> * 549797184491917<15> * 296557347313446299<18> * 161293576452574036129333<24> * 24649445347649059192745899<26> * 21606064498691505246200058094681<32> * 48911689110891303706174193415115219<35> * [3270801938...<739>] * [7840813225...<1577>] (9.31%)
10^2554+1 = 1000000000...<2555> = 101 * 383101 * [2584433373...<2547>] (0.30%)
10^2555+1 = 1000000000...<2556> = 11 * 293 * 9091 * 15331 * 909091 * 4147571 * 252285811 * 3096736651<10> * 265212793249617641<18> * 10826684964539959837294043117<29> * 286578888976194997999922592330908602103011<42> * 209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371<141> * 5248855003692933364739585667866481201678356022616389680814320588021598396149319699845570559106183903505230306376836171496217871464621288358987576841<148> * [1099999890...<433>] * [7590040926...<1706>] (16.32%)
10^2556+1 = 1000000000...<2557> = 73 * 137 * 3169 * 5113 * 98641 * 4672937 * 6188929 * 99990001 * 11473030297<11> * 465399516529<12> * 1101887167897<13> * 1068579142061329<16> * 3199044596370769<16> * 273919647900781361<18> * 22848119041855139346027890461325138752752437281<47> * 44647705187364612522122975648958308190023012536081192611094211843306393900887680445089061753<92> * 667445373322555748825141520503793291652186991286836837554650386381311674104658216820684054966269965371491433<108> * [6790882346...<538>] * [8492903348...<1653>] (14.29%)
10^2557+1 = 1000000000...<2558> = 11 * 393779 * 470489 * 7287451 * 35619011 * 71386327 * 208135984957<12> * 778905671211367877096702437<27> * [1633430682...<2485>] (2.85%)
10^2558+1 = 1000000000...<2559> = 101 * 1089709 * [9085902841...<2550>] (0.31%)
10^2559+1 = 1000000000...<2560> = 7 * 11 * 13 * 3413 * 136481 * 20933353685773<14> * 903651750549073496276006805994447<33> * [1951636045...<844>] * [5809231748...<1658>] (2.26%)
10^2560+1 = 1000000000...<2561> = 1514497 * 302078977 * 16002416641<11> * 3611707318387778163302401<25> * [6051994595...<473>] * [6249056142...<2038>] (1.93%)
10^2561+1 = 1000000000...<2562> = 11 * 859 * 15761 * 7187743 * 1058313049<10> * 300567477887394052365757<24> * 29811355463297742645615812791522446524687<41> * 8955859986822981751383809840603974861999297964004527560289254265178892781447034540032897420548979315018635088359476294463<121> * [1099999999...<2353>] (8.16%)
10^2562+1 = 1000000000...<2563> = 29 * 101 * 281 * 1709 * 9901 * 76129 * 190321 * 226549 * 390889 * 1587221 * 4801921 * 18830701 * 121499449 * 2834820061<10> * 3812801341<10> * 81183810541<11> * 188991646284391469<18> * 4458192223320340849<19> * 420941410704575706289<21> * 12825306489097494993329<23> * 2418666002101476599410229029<28> * 101444162656037151745878558385892753596849<42> * 75743388768260974116327848920184337528059461788181539337429709<62> * 1305704182448226909845888790598975114740359397093421223355030629345156521<73> * 1087990925195463452802538049940594096989130726971208253428665898558089768698552971751226781442226809<100> * [2438197887...<678>] * [1249081916...<1413>] (18.44%)
10^2563+1 = 1000000000...<2564> = 11^2 * 23 * 4093 * 8779 * 552677 * 10010290827891157<17> * 131293689927974865167<21> * 110421163951010447109232550481508448746817791459<48> * 1134592082241812086025433183314893126820787225096226178690913133518090766822711174696961498979544523242604228920675194370887660714303521711888923919224666398211<160> * [1098869172...<2305>] (10.10%)
10^2564+1 = 1000000000...<2565> = 73 * 137 * 35897 * 220811681 * 2956784477737<13> * [4266352192...<2535>] (1.15%)
10^2565+1 = 1000000000...<2566> = 7 * 11 * 13 * 19^2 * 211 * 241 * 571 * 2053 * 2161 * 6481 * 9091 * 29611 * 52579 * 1458973 * 3425131 * 3762091 * 4617001 * 70541929 * 795750211 * 4410785971<10> * 14175966169<11> * 60966262009<11> * 577603663291<12> * 595904172463<12> * 1812604116731<13> * 2911579215499<13> * 8985695684401<13> * 31023833790241<14> * 121450506296081<15> * 909090909090909091<18> * 11382273828031938028891<23> * 43135513763991692454656851<26> * 223511343531391476730446841<27> * 307010852070382484317401373<27> * 28821826124280860786408658529<29> * 383854742458924623593660909731<30> * 753201806271328462547977919407<30> * 676949894797134696311042616530611<33> * 8610583349234340055547908764091017276717091<43> * 4996731930447843676185843959746621491531100801<46> * 6508684267533856834852965580950145565983063793936631379<55> * 3245978377655567212760904825925262846295198021902309330517162600205414882257480287263152055681<94> * 9550200998...<273> * [1087691571...<331>] * [1256675757...<1288>] (36.95%)
10^2566+1 = 1000000000...<2567> = 101 * 28994563189<11> * 72291131905901<14> * 51021605687635486432811040389<29> * [9258122203...<2511>] (2.14%)
10^2567+1 = 1000000000...<2568> = 11 * 103 * 4013 * 92413 * 181288487 * 21993833369<11> * 153653579173<12> * 12331942624071394811<20> * 2646756758131654397378192081701748003041997<43> * 999882306178377345161889846655198592766347086896770989636138585751423<69> * [1190308722...<2396>] (6.70%)
10^2568+1 = 1000000000...<2569> = 17 * 5882353 * 9999999900000001<16> * [9999999900...<848>] * [1000000009...<1697>] (0.93%)
10^2569+1 = 1000000000...<2570> = 11 * 411041 * 909091 * 6337012003051224701798337646203298967<37> * 1434573437...<330> * [2676131797...<2191>] (14.74%)
10^2570+1 = 1000000000...<2571> = 101 * 3541 * 27961 * 1147249 * 10321121 * 14933005561<11> * 116930738941<12> * 927497795881<12> * 487078568940214342862745325582579441<36> * [4942481101...<485>] * [7670232409...<969>] * [2824060999...<1025>] (3.58%)
10^2571+1 = 1000000000...<2572> = 7 * 11 * 13 * 62526304942903<14> * [1453933524...<843>] * [1098901098...<1713>] (0.65%)
10^2572+1 = 1000000000...<2573> = 73 * 137 * 10289 * [9718145689...<2564>] (0.31%)
10^2573+1 = 1000000000...<2574> = 11 * 167 * 997 * 3565183 * 2097307081<10> * 21648843630059<14> * 7742098247001476863<19> * 909090909090909090909090909091<30> * 943176903141330068482602900960294299878841<42> * [5081102800...<2447>] (4.91%)
10^2574+1 = 1000000000...<2575> = 89 * 101 * 521 * 3121 * 9901 * 1063921 * 697219381 * 1052788969<10> * 1056689261<10> * 5419170769<10> * 79082656489<11> * 152980598629<12> * 999999000001<12> * 17576772101461<14> * 53397071018461<14> * 789390798020221<15> * 2361000305507449<16> * 1900381976777332243781<22> * 11761957262582764997761<23> * 19553115731461918877701<23> * 1538607523068637497164701<25> * 6060517860310398033985611921721<31> * 754309323029578981494450523147961<33> * 4832227158939716614468345433242909<34> * 117609798518967483441609863271124249<36> * 40520191245153663291616075979301737566653577978261825599617472901135361<71> * 8218476795659338409712353841905411607826230659151143998522545586866704239099075512109<85> * 722898512786203801042951920020842806081459364277150501545096737658329011666631945714409<87> * 389057640102575795238314817222406419443832674379928206992954147805827425053833398395365869<90> * [6083217201...<463>] * [7335236892...<1409>] (27.29%)
10^2575+1 = 1000000000...<2576> = 11 * 251 * 1237 * 5051 * 7211 * 9091 * 15451 * 497491 * 39778601 * 44092859 * 102860539 * 569836171 * 984385009 * 2013681931<10> * 11419172251<11> * 78875943472201<14> * 612053256358933<15> * 182725114866521155647161<24> * 1466116477001089592875229051<28> * 567664121498896654896380203841<30> * 896048585318577702680084550566846611<36> * 1471865453993855302660887614137521979<37> * 2040619763175137074842000959911624010859536873041143037361<58> * 165796914244952278117852679114529063857981242517889432600011<60> * 2102173879615901190724805905901825960646731569309620829374935176385195435873285181866611<88> * 738646356928296470476307267086332729186390523609043172055510815591989993873426438257667855075703812004308119681<111> * [9718408423...<1991>] (22.68%)
10^2576+1 = 1000000000...<2577> = 353 * 449 * 641 * 673 * 1409 * 5153 * 69857 * 153089 * 43735845217<11> * 74104013537<11> * 20136573598661589889<20> * 217860610452031121598489279950204653537<39> * 107896522139513920752730643638401909724513<42> * 155944009296214054100626916003794407157304353<45> * 6054085745...<306> * [1300506578...<2079>] (19.33%)
10^2577+1 = 1000000000...<2578> = 7 * 11 * 13 * 25771 * 97927 * 1174705983343<13> * 1486519116402317<16> * 946500924501047876767<21> * 17042007778696847013238321<26> * 54846662781255516541743463<26> * [1185374568...<802>] * [2161647662...<1665>] (4.33%)
10^2578+1 = 1000000000...<2579> = 101 * 12538704200582281<17> * 251437728000141140089<21> * 126479238566697677945721917157049<33> * 14882737406463186583912705826059541<35> * [1668374195...<2474>] (4.06%)
10^2579+1 = 1000000000...<2580> = 11 * 603487 * 852629825623<12> * 12526504286553414480387071457504877<35> * [1410421708...<2527>] (2.05%)
10^2580+1 = 1000000000...<2581> = 73 * 137 * 1033 * 350881 * 1549033 * 1676321 * 99990001 * 5964848081<10> * 5182673393399113<16> * 3210950359592401564321<22> * 100009999999899989999000000010001<33> * 277641151780258438310079109077611969<36> * 2645778409917434965592366282025495569<37> * 38993135849791157061060738352944105076217<41> * 24959547082435570261610997047582236770548713<44> * 34908493290773859017057784025792153817150916131843303273<56> * 4831610257...<268> * [2850254074...<667>] * [3114031355...<1323>] (22.91%)
10^2581+1 = 1000000000...<2582> = 11 * 59 * 179 * 1909341209<10> * 12147237304901893<17> * 154083204930662557781201849<27> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * [5761149420...<2455>] (4.89%)
10^2582+1 = 1000000000...<2583> = 101 * 11217706990928909<17> * 176192159694208111107041<24> * [5009425881...<2541>] (1.60%)
10^2583+1 = 1000000000...<2584> = 7^2 * 11 * 13 * 19 * 127 * 739 * 2689 * 5167 * 10333 * 52579 * 148339 * 459691 * 909091 * 5274739 * 16419517 * 22873327 * 1309140169<10> * 19214818177409<14> * 26726821988429179<17> * 2670502781396266997<19> * 3404193829806058997303<22> * 2227500794590370844147583<25> * 164284600769469692618640409<27> * 189772422673235585874485732659<30> * 248130677209447791247479586597<30> * 63315126142382340775081879883434386905247847<44> * 61051796035522969271171274876554178504544683763248923853725596423<65> * 5724747847...<227> * 1000999998...<241> * [2154768431...<396>] * [1717419514...<1361>] (32.03%)
10^2584+1 = 1000000000...<2585> = 17^2 * 134369 * 5882353 * 13355595217<11> * 31735795756961<14> * 440441087557478776852171834625638618412949059374084837579531425633661269203803741415744566525108430933975383194546209<117> * 234504682039452385472228601837391217101263308508305719138749905156540866534427238711769806579683320997636600725852987602204289<126> * [1000000009...<2305>] (10.84%)
10^2585+1 = 1000000000...<2586> = 11^2 * 23 * 331 * 4093 * 5171 * 5641 * 6299 * 8779 * 9091 * 20681 * 61007 * 21997411 * 20163494891<11> * 4855067598095567<16> * 318727841165674579776721<24> * 297262705009139006771611927<27> * 16771138093862687229221870527968178411115969<44> * 4286364887150220673583225059177107721806065475972215552125258086068959357115762795701840175683004019170941959169708082929486830943679876008361716880663960188314299305481<169> * 1075104008...<413> * [9091000000...<1840>] (28.82%)
10^2586+1 = 1000000000...<2587> = 101 * 9901 * 50709700557334097021<20> * [1952484433...<841>] * [1009998990...<1721>] (0.99%)
10^2587+1 = 1000000000...<2588> = 11 * 859 * 373428277 * 1058313049<10> * 45099274481<11> * 3545105703277<13> * 10765760180213<14> * 12277415800813<14> * 381438481863271910939863<24> * 2129719563805311151899739957<28> * 180724074168604579796294647309331<33> * 314293140427626491056008875724151058487007<42> * 34156671999167558280316457548021397439888515117317065783422183070342102287109965498971<86> * [8040239829...<2306>] (10.87%)
10^2588+1 = 1000000000...<2589> = 73 * 137 * 18663988297<11> * 192553806627911329<18> * 30019061191143411182689<23> * [9268360218...<2534>] (2.09%)
10^2589+1 = 1000000000...<2590> = 7 * 11 * 13 * 5179 * 10357 * 450487 * 31350288530150796080533<23> * 1584705713225403483147160166143<31> * [1273433962...<827>] * [6534873397...<1694>] (2.67%)
10^2590+1 = 1000000000...<2591> = 29 * 101 * 149 * 281 * 421 * 1481 * 3109 * 3541 * 15541 * 27961 * 68821 * 111149 * 3471301 * 13489841 * 121499449 * 6336499381<10> * 60368344121<11> * 74615611921<11> * 708840373781<12> * 3353885607521<13> * 4098464044501<13> * 107771345624719321<18> * 9392332326728043169<19> * 669031686661427842829<21> * 848654483879497562821<21> * 16206170837408945509907221<26> * 40548140514062774758071840361<29> * 4854742668404878074271409128116889281113614904383409<52> * 271880675850180367872653023164942909880799363524216099671322919521<66> * 1106856391195125605067659687372491496603851278760356356904482039681<67> * 626055461692786521088697527599460905632342461236940562171461942282321<69> * [2215040689...<362>] * [8345238407...<852>] * [3537460769...<864>] (19.81%)
10^2591+1 = 1000000000...<2592> = 11 * 265603411 * [3422738080...<2582>] (0.37%)
10^2592+1 = 1000000000...<2593> = 193 * 577 * 769 * 19841 * 976193 * 6187457 * 1901854081<10> * 317752351489<12> * 834427406578561<15> * 25053316181280577<17> * 1253224535459902849<19> * 6123088911854233729<19> * 47833256988072633601<20> * 81463739192752760233084801<26> * 53763491189967221358575546107279034709697<41> * 5454254688947363287683007582959957955687742850180556063819779071987764320758722919012384757528711422022983327967821005633305513155176634315060424546674322713747588377841693274817<178> * [1633162631...<558>] * [5385962115...<1657>] (14.59%)
10^2593+1 = 1000000000...<2594> = 11 * 25931 * [3505807369...<2588>] (0.21%)
10^2594+1 = 1000000000...<2595> = 101 * 5189 * 160829 * 1016849 * 2782220641<10> * 5162953115292312649<19> * 5948280274033119425083406521<28> * [1365503931...<2522>] (2.81%)
10^2595+1 = 1000000000...<2596> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 9689 * 41521 * 16864733 * 16002307438891<14> * 447112926793237<15> * 927317454109739561766501011<27> * 1819136781225737432538586049161<31> * 55635102055543836835465457049148501469803488052399095459738250346232835862545261814302848982434784577390375138359139691388144380289619426750242614561569128075543<161> * [2457770806...<330>] * [7412714918...<648>] * [1204793388...<1342>] (10.66%)
10^2596+1 = 1000000000...<2597> = 73 * 137 * 617 * 395026241 * 6218964172073<13> * 3410758635375200561<19> * 38260448997229780409753897<26> * 16205834846012967584927082656402106953<38> * 32394937980403032343941480318880086318307142570248235727782772042697<68> * 36837015057313006096634536795587748230336921494253255771361450341226561526611901358724245001042863132758337028749847212746321<125> * [2613926459...<2295>] (11.62%)
10^2597+1 = 1000000000...<2598> = 11 * 197 * 743 * 176597 * 909091 * 1057997274797<13> * 25714930985983<14> * 2584863032795023<16> * 67597764492620783<17> * 1997758297646989808197<22> * 5076141624365532994918781726395939035533<40> * 157098960626439851618648929549692694031560694047<48> * 9090909090909090909090909090909090909090909090909091<52> * 2548171182130492354464113595833821781588064140986874348075459263402328971040215243200625902015381883224397137647<112> * 1352321123248730090708692723609127157649515933796286170117784807116484662422141966190067516609475956486212837749899759061263<124> * [1630632454...<2128>] (18.09%)
10^2598+1 = 1000000000...<2599> = 101 * 9901 * 58889 * 4070201 * 1927014541<10> * 8246900052197820521<19> * [2599278814...<825>] * [1009998990...<1729>] (1.75%)
10^2599+1 = 1000000000...<2600> = 11 * 47 * 139 * 2531 * 4973 * 57179 * 150743 * 1944053 * 4426889 * 549797184491917<15> * 579467253301597541242367<24> * 412943108813978385999641617982242667485519119709940711942693553709517240114281629255685010553886849303<102> * [1132874956...<2425>] (6.73%)
10^2600+1 = 1000000000...<2601> = 17 * 1249 * 2081 * 49297 * 300977 * 648961 * 5070721 * 5882353 * 5990401 * 6160961 * 14852911841<11> * 24592788001<11> * 249227787818677482257<21> * 19721061166646717498359681<26> * 3475700719926956233659563848134955052440801<43> * 333632766438409011274705987026407639670042305536743429073<57> * 116990301476747139063183899107829995503054414640437569739696739532637081068627241615756780789663364521811201<108> * [5251312472...<364>] * 1669337328...<1914> (86.01%)